Regensburg 2025 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 34: Superconductivity: Theory

TT 34.10: Talk

Wednesday, March 19, 2025, 17:30–17:45, H36

Interplay of superconductivity and altermagnetism: A symmetry perspective — •Kirill Parshukov¹, Niclas Heinsdorf^{1, 2}, Benjamin T. Zhou², Marcel Franz², and Andreas P. Schnyder¹ — ¹Max Planck Institute for Solid State Research, Stuttgart, Germany — ²The University of British Columbia, Vancouver BC, Canada

The interplay between altermagnetism and superconductivity gives rise to several interesting phenomena, including unconventional Josephson effects, diode effects, Cooper pair splitting, and topological superconductivity. In this talk, I investigate how altermagnetic symmetries can lead to new superconducting states with interesting topological properties. Since the superconducting gap functions must transform as irreducible co-representations of the spin-point groups, I first construct all possible superconducting basis functions. Importantly, because the spin-point group symmetries act simultaneously on the spin and the lattice, the spin and spatial parts of the basis functions are coupled in an intricate manner. I illustrate this by considering several examples in two dimensions, including the superconducting states of an altermagnet with four Dirac points [1].

[1] K. Parshukov, R. Wiedmann, A. P. Schnyder, arXiv:2403.09520.

Keywords: Altermagnetism; Superconductivity; Symmetries; Representation theory